Em 1. (20pt) Solve the following differential equations: I (1+22) diy + 2x + 2xy° =...
Solve the following differential equations (a) dy – (1 – x2)(1+y?) (b) (2xy + 1) + (x2 + 3y2) dy = 0 (c) com + 4y= 22
Solve the following differential equations or initial value problems: (90) 1. (4.2.3y2 - 6x”y – 22 – 3)dx + (2x4y – 2x®)dy = 0 y(1) = 3
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt 7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
4. Solve the exact differential equation. (1-2xy)dx + (4y3 - x2)dy 0 4. Solve the exact differential equation. (1-2xy)dx + (4y3 - x2)dy 0
solve the following differential equations (e* + 2y)dx + (2x – sin y)dy = 0 xy' + y = y? (6xy + cos2x)dx +(9x?y? +e")dy = 0 +2ye * )dx = (w*e * -2rcos x) di
Solve the differential equations ? Problems: Solve the following differential equations, 1) V1+x?.y?-3xV/y2 -1=0.
2. Solve the following Bernoulli's differential equations. (a) 2204 + 2xy – 2,2 = 0 (b) = 54 – 3y2 (c) y 2 x +48 = 1 (d) copy + 6y = 3x44/3 dr
1 Pedro) Solve the following system of differential equations with initial value condition "+ 2x + y = 0 1 ++2y = 0 with (0) (0) - and (0) - (0) = -1
Solve the initial value problem (2x – y2)dx + (1 – 2xy)dy = 0, y(1) = 5
Question 3 Consider the following linear system of differential equations dx: = 2x-3y dt dy dt (a) Write this system of differential equations in matrix form (b) Find the general solution of the system (c) Solve the initial value problem given (0) 3 and y(0)-4 (d) Verify the calculations with MATLAB Question 3 Consider the following linear system of differential equations dx: = 2x-3y dt dy dt (a) Write this system of differential equations in matrix form (b) Find the...